利用快速扫描法计算二维一般倾斜横向各向同性介质中的行进时间

IF 4.2 2区 地球科学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computers & Geosciences Pub Date : 2024-09-13 DOI:10.1016/j.cageo.2024.105724
Yongming Lu , Wei Zhang , Jianfeng Zhang
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引用次数: 0

摘要

在勘探地震学领域,如旅行时间层析成像和地震成像等,旅行时间计算发挥着重要作用。地震各向异性给旅行时间计算带来了挑战,因为各向异性的 eikonal 解算器比各向同性的解算器更复杂。为了求解二维倾斜横向各向同性(TTI)介质中的 eikonal 方程,我们开发了一种结合快速扫描法的快速算法,用于计算准 P 波(qP)、准 SV 波(qSV)和准 SH 波(qSH)的初至旅行时间。对于 qP 波和 qSV 波,我们分析了由 Christoffel 方程导出的四元耦合慢面方程。然后,我们构建了一个局部求解器,将行进时间和慢度联系起来。我们发现,在局部求解器中,慢度矢量的一个分量是已知的,相应的慢度方程是单调的。这为我们提出的快速迭代算法提供了坚实的基础,在该算法中,我们使用牛顿法求解 qP 波和 qSV 波的慢度方程,从而确定相关的旅行时间。对于 qSH 波,慢度方程是二次方程,求解简单。数值实验证明,所提出的方法可以为简单和复杂的二维 TTI 模型获得精确的旅行时间。
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Calculating traveltimes in 2D general tilted transversely isotropic media using fast sweeping method

Traveltime calculations play an important role in the field of exploration seismology, such as traveltime tomography and seismic imaging and so on. Seismic anisotropy poses a challenge for traveltime calculation, because anisotropic eikonal solvers are more complex than the isotropic counter part. To solve the eikonal equations in 2D tilted transversely isotropic (TTI) media, we have developed a fast algorithm combine with fast sweeping method to compute the first arrival traveltimes of quasi-P (qP)-, quasi-SV (qSV)-, and quasi-SH(qSH)-waves. For the qP- and qSV-waves, we analyzed the quartic coupled slowness surface equation derived from the Christoffel equation. Then, we constructed a local solver to relate traveltime and slowness. We found that in the local solver, one component of the slowness vector is known and the corresponding slowness equation is monotonic. This provides a strong basis for the fast iterative algorithm we proposed, where we use the Newton method to solve the qP- and qSV-wave slowness equation to determine the related traveltimes. For the qSH wave, the slowness equation is quadratic and simple to solve. Numerical experiments demonstrate that the proposed method can obtain accurate traveltimes for simple and complicated 2D TTI models.

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来源期刊
Computers & Geosciences
Computers & Geosciences 地学-地球科学综合
CiteScore
9.30
自引率
6.80%
发文量
164
审稿时长
3.4 months
期刊介绍: Computers & Geosciences publishes high impact, original research at the interface between Computer Sciences and Geosciences. Publications should apply modern computer science paradigms, whether computational or informatics-based, to address problems in the geosciences.
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